Euclidean domain：2.2 Euclidean Domains

20. Euclidean Domains Let R be an integral ...

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The ring Z is a Euclidean domain. The function d is the absolute value. Definition 20.3. Let R be a ring and let f ∈ R[x] be a ...

8.3

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The norm on polynomials is the degree of the polynomial. Definition 8.2.1: Euclidean Domain. A Euclidean domain is an integral domain R ...

Abstract Algebra

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Euclidean domain

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In mathematics, more specifically in ring theory, a Euclidean domain is an integral domain that can be endowed with a Euclidean function which allows a ...

Euclidean domain in nLab

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A Euclidean domain is an integral domain which admits a form of the Euclidean quotient-and-remainder algorithm familiar from school ...

ring theory

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An integral domain E is called Euclidean domain if there exist a function (often called as norm) f from non zero elements of E to the non ...

代數導論二Week 2 (Part 3)

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Euclidean Domain 就是一個integral domain 上面加一個norm，也就是一個把環打到正整數或0 0 的函數，唯一的要求就是把0 0 打到0 0 。 例子：整數. 舉例來說Z Z 搭配取 ...

歐幾里得整環

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在抽象代數中，歐幾里得整環（Euclidean domain）是一種能作輾轉相除法的整環。凡 ... 文獻 編輯. Motzkin. The Euclidean algorithm, Bull. Amer. Math. Soc. 55, (1949) ...